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Finding the Fourth Proportional to 1,434.38, 1,979.44 and 937.85

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Solution

The fourth proportional to 1,434.38, 1,979.44 and 937.85 is: 1,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.38 : 1,979.44 = 937.85 : x
  2. Step 2: Convert to fraction form
    1,434.38/1,979.44 = 937.85/x
  3. Step 3: Cross multiply
    1,434.38x = 1,979.44 × 937.85
  4. Step 4: Simplify right side
    1,434.38x = 1,856,405.56
  5. Step 5: Solve for x
    x = 1,856,405.56/1,434.38
  6. Step 6: Final answer
    x = 1,294.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.